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Finding the Fourth Proportional to 42,704.40, 64,013.40 and 25,165.20

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Solution

The fourth proportional to 42,704.40, 64,013.40 and 25,165.20 is: 37,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,704.40 : 64,013.40 = 25,165.20 : x
  2. Step 2: Convert to fraction form
    42,704.40/64,013.40 = 25,165.20/x
  3. Step 3: Cross multiply
    42,704.40x = 64,013.40 × 25,165.20
  4. Step 4: Simplify right side
    42,704.40x = 1,610,910,013.68
  5. Step 5: Solve for x
    x = 1,610,910,013.68/42,704.40
  6. Step 6: Final answer
    x = 37,722.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.